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                二叉树计数                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div align="center"><b>&nbsp;</b></div>
<div style="text-indent: 20.25pt" align="left">在那个植树节，晚上，小L，小H，小X讨论起了一个关于树的问题：</div>
<div style="text-indent: 20.25pt" align="left">有多少个不同的二叉树最长链为<i>N</i>。</div>
<div style="text-indent: 20.25pt" align="left">但是他们发现，答案随<i>N</i>增长的速度太快了，他们想不出什么好方法，便求助于你。</div>
<div style="text-indent: 20.25pt" align="left">由于答案可能会很大，你只需要输出答案mod 10<i><sup>K</sup></i>后的结果即可。</div></p><hr/><h3>输入格式</h3><p><div align="left">包含两个正整数<i>N</i>，<i>K</i>。表示询问有多少个不同的二叉树最长链为<i>N</i>。</div>
<div style="text-indent: 20.25pt" align="left">&nbsp;</div>
<div align="left"></div></p><hr/><h3>输出格式</h3><p><div align="left">包含一个非负整数，为答案mod 10<i><sup>K</sup></i>后的结果。</div>
<div align="left">&nbsp;</div>
<div style="text-indent: 20.25pt" align="left"></div></p><hr/><h3>样例输入</h3><pre>2 10
 
</pre><hr/><h3>样例输出</h3><pre>7
 
</pre><hr/><h3>提示</h3><p><p>对于100%的数据，有N&le;200000，K&le;64；<br />
&nbsp;<br />
【提示】<br />
关于二叉树：<br />
二叉树的递归定义：二叉树要么为空，要么由根结点，左子树，右子树组成。左子树和右子树分别是一棵二叉树。<br />
请注意，有根树和二叉树的三个主要差别：<br />
1. 树的结点个数至少为1，而二叉树的结点个数可以为0；<br />
2. 树中结点的最大度数没有限制，而二叉树结点的最大度数为2；<br />
3. 树的结点无左、右之分，而二叉树的结点有左、右之分。<br />
关于最长链：<br />
最长链为这棵二叉树中一条最长的简单路径，即不经过重复结点的一条路径。可以容易证明，二叉树中最长链的起始、结束结点均为叶子结点。<br />
&nbsp;</p>
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</p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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